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Finding the Fourth Proportional to 9,315.90, 12,855.24 and 5,124.42

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Solution

The fourth proportional to 9,315.90, 12,855.24 and 5,124.42 is: 7,071.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315.90 : 12,855.24 = 5,124.42 : x
  2. Step 2: Convert to fraction form
    9,315.90/12,855.24 = 5,124.42/x
  3. Step 3: Cross multiply
    9,315.90x = 12,855.24 × 5,124.42
  4. Step 4: Simplify right side
    9,315.90x = 65,875,648.96
  5. Step 5: Solve for x
    x = 65,875,648.96/9,315.90
  6. Step 6: Final answer
    x = 7,071.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.